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Another consideration is what range of hands are you arriving with on the river?
Do you have any Tx that bets flop and checks turn? 8x? Do you any pure bluffs that stabbed flop and checked turn to realize? Where is 33 in this range? Facing a 1/2 pot bet, we can fold the bottom part of the range. But if 33 is at the top of this range, we should be calling.
